The aim of this paper is to construct topologies on intuitionistic fuzzy soft sets. The concept of intuitionistic fuzzy soft topologies is introduced and their basic properties are given. 2010 AMS Classification: 03E72; 49J53; 54A40.

In this paper, we study (L, )-fuzzy topologies induced by operations and (L, )-filters on strictly two-sided, commutative quantale lattices (L, ) and (L, ∗). Mathematics Subject Classification: 03E72, 54A40, 54B10

In this paper, some fixed and periodic point theorems are established in fuzzy cone metric space for generalized contraction mappings and the main theorem is justified by a counter example. 2010 AMS Classification: : 54A40, 03E72

In this paper we introduce the concept of fuzzy neutrosophic product spaces and investigate some of their properties. Mathematics Subject Classification: 03B99, 03E99, 03F55, 54A40

In this paper, direct proofs of some properties of new classes of fuzzy sets called fuzzy strongly g∗-closed sets and fuzzy g∗∗-closed sets are introduced. Examples are presented showing that some generalizations can not be obtained. MSC: 54A40 • 54A05

In this paper we define gradation of RS-compactness and S*-closed spaces in L-topological spaces.We generalize the degrizations of RS-compactness and S*-closedness to the L-topological space and give the positions of them under weak forms of L-continuity. 2010 AMS Classification: 54A40, 06D72

In this paper, we introduce the concepts of intuitionistic fuzzy πgα closed mappings and intuitionistic fuzzy i-πgα closed mappings. Further, we study some of their properties. MSC: 54A40, 03F55.

In this paper we define a new weak contractive condition for a pair of self mappings in fuzzy metric space and prove the existence of coincidence and common fixed points. Mathematics Subject classification: 47H1, 54A40, 54E99

In this paper, we introduce the concepts of saturated T syntopogenous spaces and we prove basic properties of this spaces. We show that the category of perfect saturated T -syntopogenous spaces is isomorphic to category of I -topological spaces 2010 AMS Classification: 54A40

In this paper, we give a generalization of Hicks type contractions and Golet type contractions in intuitionistic fuzzy metric spaces. We prove some fixed point theorems for this new type contraction mappings on intuitionistic fuzzy metric spaces. These results generalize some known results in fuzzy metric spaces and probabilistic metric spaces. AMS subject classifications: 54A40, 54E50, 54D35